Accession Number:

AD0701326

Title:

ON THE LINEAR THEORY OF HEAT CONDUCTION.

Descriptive Note:

Technical rept.,

Corporate Author:

LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS

Personal Author(s):

• Meixner ,Joseph

Report Date:

1970-01-01

Pagination or Media Count:

49.0

Abstract:

A general linear theory of heat conduction is developed. General representation theorems are derived for the relations between energy, heat flow and temperature, temperature gradient. They contain aftereffect functions of a well defined class, the so-called positive definite functions. The results are given for isotropic as well as anisotropic materials. For a particular class of materials, noted as of the relaxation type, it is possible to give a non-equilibrium entropy in terms of a certain functional which satisfies a Clausius-Duhem inequality. Also a model for linear heat conduction in this class of materials is given which consists of a thermodynamic formalism with internal variables. Author

Descriptors:

• (*CONDUCTION(HEAT TRANSFER)
• THEORY)
• INEQUALITIES
• HEAT FLUX
• ENERGY
• TEMPERATURE
• ENTROPY
• ISOTROPISM
• ANISOTROPY
• PARTIAL DIFFERENTIAL EQUATIONS
• INTEGRAL EQUATIONS

Subject Categories:

• Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE